Question

express the following probability as a simplified fraction and as a decimal.
if one person is selected from the population described in the table, find the probability that the person is not widowed
express the probability as a simplified fraction
p(not widowed) =
(type an integer or a simplified fraction.)

Explanation:

Step1: Calculate the number of people who are not widowed

The total number of people is \(242\) (from the table). The number of widowed people is \(10\). So the number of people who are not widowed is \(242 - 10=232\).

Step2: Calculate the probability as a fraction

The probability formula is \(P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, \(P(\text{not widowed})=\frac{232}{242}\). Simplify the fraction:
\(\frac{232\div2}{242\div2}=\frac{116}{121}\)

Answer:

\(\frac{116}{121}\)